1/3×1/4+1/4×1/5+1/5×1/6……1/n×1/n+1=197/600n为多少

题目详情

1/3×1/4+1/4×1/5+1/5×1/6……1/n×1/n+1=197/600 n为多少

▼优质解答

答案和解析

1/3×1/4+1/4×1/5+1/5×1/6……1/n×1/n+1
=1/3-1/4+1/4-1/5+……+1/n-1/(n+1)
=1/3-1/(n+1)=196/600
n=149

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